The variety of pairs of commuting nilpotent matrices is irreducible

Vladimir Baranovsky

Type: Article

Publication Date: 2001-03-01

Citations: 73

DOI: https://doi.org/10.1007/bf01236059

View Publication

Locations

Transformation Groups - View

Similar Works

Action	Title	Year	Authors
+	Degree of the variety of pairs of nilpotent commuting matrices	2014	Adriana R. Silva Israel Vainsencher
+ PDF Chat	Varieties of pairs of nilpotent matrices annihilating each other	2004	Jan Schröer
+ PDF Chat	On pairs of commuting nilpotent matrices	2009	Tomaž Košir Polona Oblak
+ PDF Chat	On the variety of almost commuting nilpotent matrices	2010	Eliana Zoque
+ PDF Chat	Commuting nilpotent matrices and Artinian algebras	2010	Roberta Basili Anthony Iarrobino Leila Khatami
+	Varieties of pairs of nilpotent matrices annihilating each other	2002	Jan Schröer
+ PDF Chat	Commuting pairs and triples of matrices and related varieties	2000	Robert M. Guralnick B. A. Sethuraman
+	Similarity of nilpotent, integer matrices, or, four elementary categories	1982	Daniel Zelinsky
+	Matrices Nilpotentes	2018	Comité Editorial
+	Mixed Commuting Varieties over Nilpotent Matrices	2021	Jerry Magaña Nham V. Ngo
+ PDF Chat	NILPOTENTS ZERO DIVISORS OF A MULTIDIMENSIONAL MATRIX	2022	Masharipov Sirojiddin
+	Pairs of commuting matrices over a finite field	1960	Walter Feit N. J. Fine
+	Nilpotent Matrices and the Jordan Canonical Form	1998	David F. Delchamps
+	Classes of Pairs of Commuting Matrices over a Finite Field	1963	L. Carlitz
+	Ideals of conjugacy classes of nilpotent matrices	2006	Riccardo Biagioli Sara Faridi Mercedes Helena Rosas Celis
+	Components of Algebraic Sets of Commuting and Nearly Commuting Matrices.	2010	Hsu-Wen Vincent Young
+	The equations of conjugacy classes of nilpotent matrices	1989	Jerzy Weyman
+ PDF Chat	Subspaces fixed by a nilpotent matrix	2023	Marvin Anas Hahn Gabriele Nebe Mima Stanojkovski Bernd Sturmfels
+	Nilpotent and locally nilpotent matrix groups	1976
+	Local and global reducibility of spaces of nilpotent matrices	2020	Mitja Mastnak Matjaž Omladič Heydar Radjavi Klemen Šivic

Works That Cite This (70)

Action	Title	Year	Authors
+	Autoduality of compactified Jacobians for curves with plane singularities	2012	D. Arinkin
+ PDF Chat	Nilpotent matrices having a given Jordan type as maximum commuting nilpotent orbit	2018	Anthony Iarrobino Leila Khatami Bart Van Steirteghem Rui Zhao
+ PDF Chat	Cohomology of line bundles on compactified Jacobians	2011	D. Arinkin
+ PDF Chat	Nilpotent commuting varieties of reductive Lie algebras	2003	Alexander Premet
+ PDF Chat	On the nilpotent commutator of a nilpotent matrix	2011	Polona Oblak
+ PDF Chat	Maximal subalgebras of finite-dimensional algebras	2019	Miodrag C. Iovanov Alexander Sistko
+	Anti-commuting varieties	2018	Xinhong Chen Weiqiang Wang
+	On the maximum nilpotent orbit intersecting a centralizer in M(n,K)	2012	Roberta Basili
+	Ideals Generated by Principal Minors	2014	Ashley K. Wheeler
+ PDF Chat	Ideals generated by principal minors	2015	Ashley K. Wheeler

Works Cited by This (18)

Action	Title	Year	Authors
+ PDF Chat	Elementary introduction to representable functors and Hilbert schemes	1996	Stein Arild Strømme
+	Commuting varieties of semisimple Lie algebras and algebraic groups	1979	R. W. Richardson
+	On the irreducibility of the punctual Quotient Scheme of a Surface	1997	Geir Ellingsrud Manfred Lehn
+	On Punctual Quot Schemes for Algebraic Surfaces	1997	Vladimir Baranovsky
+	Description de Hilb n C{x, y}	1977	Joel Briancon
+	Techniques de construction et théorèmes d'existence en géométrie algébrique IV : les schémas de Hilbert	1961	Alexander Grothendieck
+	A note on commuting pairs of matrices	1992	Robert M. Guralnick
+ PDF Chat	Irreducibility of the punctual quotient scheme of a surface	1999	Geir Ellingsrud Manfred Lehn
+	Perverse sheaves and the cohomology of Hilbert schemes of smooth algebraic surfaces	1993	Lothar Göttsche Wolfgang Soergel
+ PDF Chat	Pairs of matrices with property 𝐿. II	1955	T. S. Motzkin Olga Taussky