Counting points on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">ab</mml:mi></mml:mrow></mml:msub></mml:math> curves using Monsky–Washnitzer cohomology

Similar Works

Action	Title	Year	Authors
+	Counting sheaves on singular curves and surfaces	2019	Amin Gholampour
+ PDF Chat	Counting Points on $CM$ Elliptic Curves	1996	H. Stärk
+	Calculating cohomology by counting points	2020
+	Counting planar curves in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">P</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math> with degenerate singularities	2021	Nilkantha Das Ritwik Mukherjee
+	Gromov-Witten invariants of jumping curves	2007	İzzet Coşkun
+	Counting integral points on affine homogeneous varieties and Patterson-Sullivan theory	2013	JÃ ⁄ rg Portmann
+	On the Hilbert scheme of linearly normal curves in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e4047" altimg="si10.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">P</mml:mi></mml:mrow><mml:mrow><mml:mi>r</mml:mi></mml:mrow></mml:msup></mml:math> with small index of speciality	2022	Changho Keem
+ PDF Chat	Cohomology of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>G</mml:mi></mml:math>-sheaves in positive characteristic	2005	Niels Borne
+ PDF Chat	${\rm GR}={\rm SW}$: counting curves and connections	1999	Clifford Henry Taubes
+ PDF Chat	13/2 ways of counting curves	2014	Rahul Pandharipande Richard P. Thomas
+	Heegner points on modular curves	2017	Li Cai Yihua Chen Yu Liu
+	On the Hilbert scheme of linearly normal curves in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">P</mml:mi></mml:mrow><mml:mrow><mml:mi>r</mml:mi></mml:mrow></mml:msup></mml:math> of relatively high degree	2019	Edoardo Ballico Claudio Fontanari Changho Keem
+ PDF Chat	Intersection theory on \overline{ℳ}_{1,4} and elliptic Gromov-Witten invariants	1997	Ezra Getzler
+ PDF Chat	Counting curves on rational surfaces	2000	Ravi Vakil
+	On motivic vanishing cycles of critical loci	2019	Vittoria Bussi Dominic Joyce Sven Meinhardt
+	Computing cohomology	1988	M. Karoubi C. Leruste
+	On the cohomology of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msub><mml:mrow><mml:mi mathvariant="normal">SL</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>	2024	Avner Ash
+ PDF Chat	A characterization of integral curves with Gorenstein hyperplane sections	1996	Kohji Yanagawa
+	Counting Points on Hyperelliptic Curves using Monsky-Washnitzer Cohomology	2001	Kiran S. Kedlaya
+	Classes of Weierstrass points on genus 2 curves	2018	Renzo Cavalieri Nicola Tarasca

Works That Cite This (29)

Action	Title	Year	Authors
+ PDF Chat	Lifting low-gonal curves for use in Tuitman’s algorithm	2020	Wouter Castryck Floris Vermeulen
+ PDF Chat	An extension of Kedlaya’s algorithm for hyperelliptic curves	2011	Michael Harrison
+ PDF Chat	The uniqueness of Weierstrass points with semigroup $$\langle a;b\rangle $$ ⟨ a ; b ⟩ and related semigroups	2019	Marc Coppens
+	A generalized Kiepert formula for C ab curves	2009	Shigeki Matsutani Эмма Превиато
+ PDF Chat	Curves in characteristic $2$ with non-trivial $2$-torsion	2014	Wouter Castryck Marco Streng Damiano Testa
+ PDF Chat	On infiniteness of integral overconvergent de Rham–Witt cohomology modulo torsion	2020	Veronika Ertl Atsushi Shiho
+	Counting points on curves using a map to P1, II	2017	Jan Tuitman
+	Lifting low-gonal curves for use in Tuitman's algorithm	2020	Wouter Castryck Floris Vermeulen
+ PDF Chat	Point counting on curves using a gonality preserving lift	2017	Wouter Castryck Jan Tuitman
+ PDF Chat	Algebraic independence in positive characteristic: A $p$-adic calculus	2014	Johannes Mittmann Nitin Saxena Peter Scheiblechner

Works Cited by This (21)

Action	Title	Year	Authors
+	A Course in Computational Algebraic Number Theory	1993	Henri Cohen
+	Algebraic Curves: An Introduction to Algebraic Geometry	1969	William Fulton Richard M. Weiss
+	Counting Points on Hyperelliptic Curves using Monsky-Washnitzer Cohomology	2001	Kiran S. Kedlaya
+	Counting rational points on curves and abelian varieties over finite fields	1996	Leonard M. Adleman Ming-Deh A. Huang
+	Methode A.G.M. pour les courbes ordinaires de genre 3 non hyperelliptiques sur F_{2^N}	2003	Christophe Ritzenthaler
+ PDF Chat	The cohomology of Monsky and Washnitzer	1986	Marius van der Put
+ PDF Chat	Numbers of solutions of equations in finite fields	1949	André Weil
+	A theoretical basis for the reduction of polynomials to canonical forms	1976	Bruno Buchberger
+	Counting Points on Curves and Abelian Varieties Over Finite Fields	2001	Leonard M. Adleman Ming-Deh A. Huang
+ PDF Chat	Computing Zeta Functions of Artin–schreier Curves over Finite Fields	2002	Alan G. B. Lauder Daqing Wan