M Giusti

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All published works

Action	Title	Year	Authors
+	Bases standard, élimination et complexité	2024	M Giusti
+	Approximation Num\'erique de Racines Isol\'ees Multiples de Syst\`emes Analytiques	2018	M Giusti Jean-Claude Yakoubsohn
+ PDF Chat	Algorithmes Efficaces en Calcul Formel	2017	Alin Bostan Frédéric Chyzak M Giusti Romain Lebreton Grégoire Lecerf Bruno Salvy Éric Schost
+ PDF Chat	Degeneracy Loci and Polynomial Equation Solving	2014	Bernd Bank M Giusti Joos Heintz Grégoire Lecerf Guillermo Matera Pablo Solernó
+	Intrinsic complexity estimates in polynomial optimization	2014	Bernd Bank M Giusti Joos Heintz Mohab Safey El Din
+ PDF Chat	Point searching in real singularcomplete intersection varieties: algorithms of intrinsic complexity	2013	Bernd Bank M Giusti Joos Heintz
+	Degeneracy loci and polynomial equation solving	2013	Bernd Bank M Giusti Joos Heintz Grégoire Lecerf Guillermo Matera Pablo Solernó
+	Intrinsic complexity estimates in polynomial optimization	2013	Bernd Bank M Giusti Joos Heintz Mohab Safey El Din
+ PDF Chat	Polar, bipolar and copolar varieties: Real solving of algebraic varieties with intrinsic complexity	2013	Bernd Bank M Giusti Joos Heintz
+	Multiplicity hunting and approximating multiple roots of polynomial systems	2013	M Giusti Jean-Claude Yakoubsohn
+	Intrinsic complexity estimates in polynomial optimization	2013	Bernd Bank M Giusti Joos Heintz Mohab Safey El Din
+	Degeneracy loci and polynomial equation solving	2013	Bernd Bank M Giusti Joos Heintz Grégoire Lecerf Guillermo Matera Pablo Solernó
+	Algorithms of Intrinsic Complexity for Point Searching in Compact Real Singular Hypersurfaces	2012	Bernd Bank M Giusti Joos Heintz Lutz Lehmann Luis Miguel Pardo
+	The evaluation of geometric queries: constraint databases and quantifier elimination	2011	M Giusti Joos Heintz Bart Kuijpers
+	Effective methods in algebraic geometry 2009: Barcelona. Guest editors’ foreword	2010	Carlos D’Andrea M Giusti Luis Miguel Pardo Ragni Piene
+	Bipolar varieties and real solving of a singular polynomial equation	2010	Bernd Bank M Giusti Joos Heintz Luis Miguel Pardo
+ PDF Chat	On the geometry of polar varieties	2010	Bernd Bank M Giusti Joos Heintz Mohab Safey El Din Éric Schost
+	A Gröbner free alternative to solving and a geometric analogue to Cook's thesis	2009	M Giusti
+ PDF Chat	On the intrinsic complexity of point finding in real singular hypersurfaces	2009	Bernd Bank M Giusti Joos Heintz Luis Miguel Pardo
+	Variétés bipolaires et résolution d’une équation polynomiale réelle	2009	Bernd Bank M Giusti Joos Heintz Luis Miguel Pardo
+	On the geometry of polar varieties	2009	B. Bank M Giusti Joos Heintz Mohab Safey El Din Éric Schost
+ PDF Chat	On Location and Approximation of Clusters of Zeros: Case of Embedding Dimension One	2006	M Giusti Grégoire Lecerf Bruno Salvy Jean-Claude Yakoubsohn
+	Some effectivity problems in polynomial ideal theory	2005	M Giusti
+	Generalized polar varieties: geometry and algorithms	2005	B. Bank M Giusti Joos Heintz Luis Miguel Pardo
+	On Location and Approximation of Clusters of Zeros of Analytic Functions	2005	M Giusti Grégoire Lecerf Bruno Salvy Jean-Claude Yakoubsohn
+	Generalized polar varieties and an efficient real elimination	2004	Bernd Bank M Giusti Joos Heintz Luis Miguel Pardo
+ PDF Chat	The Hardness of Polynomial Equation Solving	2003	David J. Castro M Giusti Joos Heintz Guillermo Matera Luis Miguel Pardo
+	A first approach to generalized polar varieties	2003	Bernd Bank M Giusti Joos Heintz Luis Miguel Pardo
+	The hardness of polynomial equation solving	2003	David J. Castro M Giusti Joos Heintz Guillermo Matera Luis Miguel Pardo
+ PDF Chat	Polar varieties and efficient real elimination	2001	B. Bank M Giusti Joos Heintz G. M. Mbakop
+	The Projective Noether Maple Package: Computing the Dimension of a Projective Variety	2000	M Giusti K. Hägele Grégoire Lecerf Joël Marchand Bruno Salvy
+	Polar Varieties and Efficient Real Elimination	2000	B. Bank M Giusti Joos Heintz G. M. Mbakop
+	Solving some overdetermined polynomial systems	1999	M Giusti Éric Schost
+	Straight-line programs in geometric elimination theory	1998	M Giusti Joos Heintz J. E. Morais J. Morgenstem Luis Miguel Pardo
+	Le rôle des structures de données dans les problèmes d'élimination	1997	M Giusti Joos Heintz J. E. Morais Luis Miguel Pardo
+ PDF Chat	Lower bounds for diophantine approximations	1997	M Giusti Joos Heintz K. Hägele J. E. Morais Luis Miguel Pardo José Luis Montaña
+	Polar Varieties, Real Equation Solving, and Data Structures: The Hypersurface Case	1997	B. Bank M Giusti Joos Heintz G. M. Mbakop
+	Elimination and complexity	1996	M Giusti
+	Polar Varieties and Efficient Real Equation Solving: The Hypersurface Case	1996	B. Bank M Giusti Joos Heintz Rainer Mandel G. M. Mbakop
+	Straight--Line Programs in Geometric Elimination Theory	1996	M Giusti Joos Heintz J. E. Morais Jacques Morgenstern Luis Miguel Pardo
+	Polar Varieties, Real Equation Solving and Data-Structures: The hypersurface case	1996	B. Bank M Giusti Joos Heintz G. M. Mbakop
+	Lower Bounds for diophantine Approximation	1996	M Giusti Joos Heintz K. Hägele J. E. Morais Luis Miguel Pardo José Luis Montaña
+	When polynomial equation systems can be “solved” fast?	1995	M Giusti Joos Heintz J. E. Morais Luis Miguel Pardo
+	On the efficiency of effective Nullstellens�tze	1993	M Giusti Joos Heintz Juan Sabia
+	The membership problem for unmixed polynomial ideals is solvable in single exponential time	1991	Alicia Dickenstein Noaï Fitchas M Giusti Carmen Sessa
+	Algorithmes – disons rapides – pour la décomposition d’une variété algébrique en composantes irréductibles et équidimensionnelles	1991	M Giusti Joos Heintz
+	Complexity of standard bases in projective dimension zero	1989	M Giusti
+ PDF Chat	Algebraic transformations of polynomial equations, symmetric polynomials and elimination	1989	M Giusti Daniel Lazard Annick Valibouze
+	On the castelnuovo regularity for curves	1989	M Giusti
+	Combinatorial dimension theory of algebraicvarieties	1988	M Giusti
+	A note on the complexity of constructing standard bases	1985	M Giusti
+	Classification des singularités isolées simples d’intersections complètes	1983	M Giusti
+	Singularites isolees et sections planes de varietes determinantielles	1982	M Giusti M. Merle
+	Singularites isolees et sections planes de varietes determinantielles	1982	M Giusti M. Merle
+ PDF Chat	Algebraic Geometry	1982	A Dold Beno Eckmann José Manuel Aroca Ragnar-Olaf Buchweitz M Giusti Michel Merle
+ PDF Chat	Sur les singularités isolées d'intersections complètes quasi-homogènes	1977	M Giusti

Common Coauthors

Coauthor	Papers Together
Joos Heintz	33
Luis Miguel Pardo	16
Bernd Bank	15
B. Bank	7
Grégoire Lecerf	7
J. E. Morais	6
G. M. Mbakop	5
Guillermo Matera	5
Mohab Safey El Din	5
Jean-Claude Yakoubsohn	4
Bruno Salvy	4
Éric Schost	4
Pablo Solernó	3
K. Hägele	3
M. Merle	2
David J. Castro	2
José Luis Montaña	2
J. Morgenstem	1
José Manuel Aroca	1
A Dold	1
Daniel Lazard	1
Bart Kuijpers	1
Rainer Mandel	1
Jacques Morgenstern	1
Noaï Fitchas	1
Ragni Piene	1
Carmen Sessa	1
Frédéric Chyzak	1
Lutz Lehmann	1
Annick Valibouze	1
Beno Eckmann	1
Romain Lebreton	1
Carlos D’Andrea	1
Joël Marchand	1
Alin Bostan	1
Michel Merle	1
Ragnar-Olaf Buchweitz	1
Alicia Dickenstein	1
Juan Sabia	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Straight-line programs in geometric elimination theory	1998	M Giusti Joos Heintz J. E. Morais J. Morgenstem Luis Miguel Pardo	20
+ PDF Chat	Lower bounds for diophantine approximations	1997	M Giusti Joos Heintz K. Hägele J. E. Morais Luis Miguel Pardo José Luis Montaña	15
+	When polynomial equation systems can be “solved” fast?	1995	M Giusti Joos Heintz J. E. Morais Luis Miguel Pardo	15
+	Polar Varieties, Real Equation Solving, and Data Structures: The Hypersurface Case	1997	B. Bank M Giusti Joos Heintz G. M. Mbakop	14
+	On the Complexity of Semialgebraic Sets.	1989	Joos Heintz Pablo Solernó Marie-Françoise Roy	14
+	A computational method for diophantine approximation	1996	Térésa Krick Luis Miguel Pardo	12
+ PDF Chat	Polar varieties and efficient real elimination	2001	B. Bank M Giusti Joos Heintz G. M. Mbakop	12
+	Generalized polar varieties: geometry and algorithms	2005	B. Bank M Giusti Joos Heintz Luis Miguel Pardo	11
+	Polar varieties and computation of one point in each connected component of a smooth real algebraic set	2003	Mohab Safey El Din Éric Schost	9
+ PDF Chat	The Hardness of Polynomial Equation Solving	2003	David J. Castro M Giusti Joos Heintz Guillermo Matera Luis Miguel Pardo	9
+	Generalized polar varieties and an efficient real elimination	2004	Bernd Bank M Giusti Joos Heintz Luis Miguel Pardo	9
+ PDF Chat	On the geometry of polar varieties	2010	Bernd Bank M Giusti Joos Heintz Mohab Safey El Din Éric Schost	9
+	Complexity of Bezout′s Theorem	1993	Michael Shub Steve Smale	8
+	Lower bounds for arithmetic networks	1993	Jos� L. Monta�a Luis Miguel Pardo	8
+	Complexity of Bezout’s Theorem IV: Probability of Success; Extensions	1996	Michael Shub Steve Smale	8
+	Resolution des systemes d'equations algebriques	1981	Daniel Lazard	8
+ PDF Chat	Complexity of Bézout’s theorem. I. Geometric aspects	1993	Michael Shub Steve Smale	8
+	Some new effectivity bounds in computational geometry	1989	Leandro Caniglia André Galligo Joos Heintz	8
+	The membership problem for unmixed polynomial ideals is solvable in single exponential time	1991	Alicia Dickenstein Noaï Fitchas M Giusti Carmen Sessa	8
+	On the Intrinsic Complexity of Elimination Theory	1993	Joos Heintz Jacques Morgenstern	7
+ PDF Chat	Sur la complexité du principe de Tarski-Seidenberg	1990	Joos Heintz Marie-Françoise Roy Pablo Solernó	7
+	Varietes Polaires Locales et Classes de Chern des Varietes Singulieres	1981	Lê Dũng Tráng Bernard Teissier	7
+ PDF Chat	Greatest common divisors of polynomials given by straight-line programs	1988	Erich Kaltofen	6
+	Combinatorial dimension theory of algebraicvarieties	1988	M Giusti	6
+	Ideals defined by matrices and a certain complex associated with them	1962	J. A. Eagon D. G. Northcott	6
+	On the Geometry of a Theorem of Riemann	1973	George R. Kempf	6
+	The Red Book of Varieties and Schemes	1988	David Mumford	6
+	Bounds for the Degrees in the Nullstellensatz	1987	W. Dale Brownawell	6
+	On the intractability of Hilbert’s Nullstellensatz and an algebraic version of “NP≠P?”	1995	Michael Shub Steve Smale	6
+	The complexity of partial derivatives	1983	Walter Bäur Volker Strassen	6
+ PDF Chat	Properness Defects of Projections and Computation of at Least One Point in Each Connected Component of a Real Algebraic Set	2004	Mohab Safey El Din �ric Schost	6
+	A concise proof of the Kronecker polynomial system solver from scratch	2007	Clémence Durvye Grégoire Lecerf	6
+ PDF Chat	Absolute primality of polynomials is decidable in random polynomial time in the number of variables	1981	Joos Heintz Malte Sieveking	6
+ PDF Chat	Constructions in algebra	1974	A. Seidenberg	5
+	On the efficiency of effective Nullstellens�tze	1993	M Giusti Joos Heintz Juan Sabia	5
+ PDF Chat	Algèbre linéaire sur $K[X_1,\dots,X_n]$ et élimination	1977	Daniel Lazard	5
+	On the computational complexity of polynomials and bilinear mappings. A survey	1989	Joos Heintz	5
+	Zeros, multiplicities, and idempotents for zero-dimensional systems	1996	María Emilia Alonso García Eberhard Becker Marie-Françoise Roy Thorsten Wörmann	5
+	Commutative Ring Theory	1987	H. Matsumura	5
+	Real Solving for Positive Dimensional Systems	2002	Philippe Aubry Fabrice Rouillier Mohab Safey El Din	5
+	The Geometrical Invariants of Algebraic Loci	1938	John A. Todd	5
+	Estimations for the Separation Number of a Polynomial System	1997	Jean‐Pierre Dedieu	5
+	Quadratic Newton Iteration for Systems with Multiplicity	2002	Grégoire Lecerf	5
+	On the Complexity of Zero-dimensional Algebraic Systems	1991	Y. N. Lakshman Daniel Lazard	4
+	On the computational complexity and geometry of the first-order theory of the reals. Part III: Quantifier elimination	1992	James Renegar	4
+	Finding at Least One Point in Each Connected Component of a Real Algebraic Set Defined by a Single Equation	2000	Fabrice Rouillier Marie-Françoise Roy Mohab Safey El Din	4
+	On the Complexity of Sparse Elimination	1996	Ioannis Z. Emiris	4
+	Complexity of deciding Tarski algebra	1988	D. Yu. Grigor'ev	4
+ PDF Chat	Sharp effective Nullstellensatz	1988	Janós Kollár	4
+	Basic Algebraic Geometry 2	1994	Igor R. Shafarevich	4