L. Alexander Betts

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All published works

Action	Title	Year	Authors
+ PDF Chat	Bounds on the Chabauty–Kim Locus of Hyperbolic Curves	2024	L. Alexander Betts David Corwin Marius Leonhardt
+ PDF Chat	Local constancy of pro‐unipotent Kummer maps	2023	L. Alexander Betts
+ PDF Chat	Weight filtrations on Selmer schemes and the effective Chabauty–Kim method	2023	L. Alexander Betts
+	Semisimplicity of the Frobenius Action on π1	2022	L. Alexander Betts Daniel Litt
+ PDF Chat	A user's guide to the local arithmetic of hyperelliptic curves	2022	Alex J. Best L. Alexander Betts Matthew Bisatt Raymond van Bommel Vladimir Dokchitser Omri Faraggi Sabrina Kunzweiler Céline Maistret Adam Morgan Simone Muselli
+ PDF Chat	Variation of Tamagawa numbers of Jacobians of hyperelliptic curves with semistable reduction	2021	L. Alexander Betts
+	Refined Selmer equations for the thrice-punctured line in depth two	2021	Alex J. Best L. Alexander Betts Theresa Kumpitsch Martin Lüdtke Angus McAndrew Lie Qian Elie Studnia Yujie Xu
+	Semisimplicity and weight-monodromy for fundamental groups	2019	L. Alexander Betts Daniel Litt
+	Ramification of \'etale path torsors and harmonic analysis on graphs	2019	L. Alexander Betts Netan Dogra
+	The local theory of unipotent Kummer maps and refined Selmer schemes	2019	L. Alexander Betts Netan Dogra
+	Variation of Tamagawa numbers of Jacobians of hyperelliptic curves with semistable reduction	2018	L. Alexander Betts
+ PDF Chat	Variation of Tamagawa numbers of semistable abelian varieties in field extensions	2018	L. Alexander Betts Vladimir Dokchitser Vladimir Dokchitser Adam Morgan
+	Heights via anabelian geometry and local Bloch-Kato Selmer sets	2018	L. Alexander Betts
+	The first-order theory of geometric points of schemes: Chevalley's theorem and quantifier elimination	2015	L. Alexander Betts
+	Finite quotients of Z[C_n]-lattices and Tamagawa numbers of semistable abelian varieties	2014	L. Alexander Betts Vladimir Dokchitser

Common Coauthors

Coauthor	Papers Together
Vladimir Dokchitser	3
Daniel Litt	2
Netan Dogra	2
Adam Morgan	2
Alex J. Best	2
Lie Qian	1
Martin Lüdtke	1
Sarah Nowell	1
Omri Faraggi	1
Raymond van Bommel	1
Sabrina Kunzweiler	1
Simone Muselli	1
Matthew Bisatt	1
Elie Studnia	1
Yujie Xu	1
David Corwin	1
Angus McAndrew	1
Marius Leonhardt	1
Theresa Kumpitsch	1
Céline Maistret	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The Unipotent Albanese Map and Selmer Varieties for Curves	2009	Minhyong Kim	7
+ PDF Chat	The motivic fundamental group of P1∖{0,1,∞} and the theorem of Siegel	2005	Minhyong Kim	6
+	Tangential localization for Selmer varieties	2012	Minhyong Kim	5
+ PDF Chat	A non-abelian conjecture of Tate–Shafarevich type for hyperbolic curves	2018	Jennifer S. Balakrishnan Ishai Dan‐Cohen Minhyong Kim Stefan Wewers	5
+ PDF Chat	Local monodromy on the fundamental groups of algebraic curves along a degenerate stable curve	1995	Mamoru Asada Makoto Matsumoto Takayuki Oda	4
+ PDF Chat	Regulator constants and the parity conjecture	2009	Tim Dokchitser Vladimir Dokchitser	4
+	Hodge Structure on the Fundamental Group and its Application to p-Adic Integration	2003	Vadim Vologodsky	4
+	Endlichkeitss�tze f�r abelsche Variet�ten �ber Zahlk�rpern	1983	Герд Фалтингс	3
+	Arithmetic of hyperelliptic curves over local fields	2017	Céline Maistret Tim Dokchitser Vladimir Dokchitser Adam Morgan	3
+ PDF Chat	On the parity conjecture for abelian surfaces	2023	Vladimir Dokchitser Céline Maistret	3
+ PDF Chat	An effective Chabauty–Kim theorem	2019	Jennifer S. Balakrishnan Netan Dogra	3
+ PDF Chat	A p-adic nonabelian criterion for good reduction of curves	2015	Fabrizio Andreatta Adrian Iovită Minhyong Kim	3
+ PDF Chat	The l-component of the unipotent Albanese map	2007	Minhyong Kim Akio Tamagawa	3
+	The Motivic Anabelian Geometry of Local Heights on Abelian Varieties	2024	Laurie Betts	3
+ PDF Chat	Coleman integration using the Tannakian formalism	2002	Amnon Besser	3
+ PDF Chat	Rigidity and a Riemann–Hilbert correspondence for p-adic local systems	2016	Ruochuan Liu Xinwen Zhu	3
+	Algebraic geometry and arithmetic curves	2003	Qing Liu	3
+	Motivic fundamental groups and integral points	2011	Majid Hadian	3
+	The local theory of unipotent Kummer maps and refined Selmer schemes	2019	L. Alexander Betts Netan Dogra	3
+	Logarithmic Riemann–Hilbert correspondences for rigid varieties	2022	Hansheng Diao Kai‐Wen Lan Ruochuan Liu Xinwen Zhu	3
+ PDF Chat	Explicit Chabauty–Kim for the split Cartan modular curve of level 13	2019	Jennifer S. Balakrishnan Netan Dogra J. Steffen Müller Jan Tuitman Jan Vonk	2
+	Pencils of quadrics and the arithmetic of hyperelliptic curves	2013	Manjul Bhargava Benedict H. Gross Xiaoheng Wang	2
+ PDF Chat	Stacks of cyclic covers of projective spaces	2004	Alessandro Arsie Angelo Vistoli	2
+	Crystalline Fundamental Groups I — Isocrystals on Log Crystalline Site and Log Convergent Site	2000	Atsushi Shiho	2
+ PDF Chat	Étale cohomology for non-Archimedean analytic spaces	1993	Vladimir G. Berkovich	2
+ PDF Chat	Harmonic Morphisms and Hyperelliptic Graphs	2009	Mark D. Baker Serguei Norine	2
+	L-Functions and Tamagawa Numbers of Motives	2007	Spencer Bloch Kazuya Katô	2
+ PDF Chat	Mixed Hodge structures on homotopy groups	1986	Richard Hain	2
+	Le Groupe Fondamental de la Droite Projective Moins Trois Points	1989	P. Deligne	2
+	Degeneration of Hodge Structures	1986	Eduardo Cattani Aroldo Kaplan Wilfried Schmid	2
+	Spectral Theory and Analytic Geometry over Non-Archimedean Fields	2012	Vladimir G. Berkovich	2
+ PDF Chat	The Bar Construction and Affine Stacks	2016	Martin Olsson	2
+	Modeles de neron et monodromie	1972	Alexandre Grothendieck M. Raynaud	2
+	Semisimplicity and Tensor Products of Group Representations: Converse Theorems	1997	Jean-Pierre Serre Walter Feit	2
+	K-th�orie des anneaux d'entiers de corps de nombres et cohomologie �tale	1979	C. Soul�	2
+ PDF Chat	Quadratic Chabauty and rational points, I: p-adic heights	2018	Jennifer S. Balakrishnan Netan Dogra	2
+	Towards non–abelian 𝑝–adic Hodge theory in the good reduction case	2010	Martin Olsson	2
+ PDF Chat	The irreducibility of the space of curves of given genus	1969	Pierre Deligne D. Mumford	2
+	Riemann–Roch and Abel–Jacobi theory on a finite graph	2007	Matthew Baker Serguei Norine	2
+	Partial Desingularisations of Quotients of Nonsingular Varieties and their Betti Numbers	1985	Frances Kirwan	2
+	Parity of ranks for elliptic curves with a cyclic isogeny	2007	Tim Dokchitser Vladimir Dokchitser	2
+	La fonction zêta d'une monodromie	1975	Norbert A’Campo	2
+ PDF Chat	Infinitesimal presentations of the Torelli groups	1997	Richard Hain	2
+	p-adic étale cohomology and crystalline cohomology in the semi-stable reduction case	1999	Takeshi Tsuji	2
+	On the descending central series of groups with a single defining relation	1970	John Labute	2
+	On equations inS-units and the Thue-Mahler equation	1984	Jan‐Hendrik Evertse	2
+	Selmer varieties for curves with CM Jacobians	2010	John Coates Minhyong Kim	2
+	Advanced Topics in the Arithmetic of Elliptic Curves	1994	Joseph H. Silverman	2
+	Construction des représentations p-adiques semi-stables	2000	Pierre Colmez Jean-Marc Fontaine	2
+ PDF Chat	Root numbers and parity of ranks of elliptic curves	2011	Tim Dokchitser Vladimir Dokchitser	2