Výsledky vyhledávání - "Elisa Lorenzo García"

A bound on the primes of bad reduction for CM curves of genus 3

Autor: Kristin E. Lauter, Rachel Newton, Marco Streng, Pınar Kılıçer, Ekin Ozman, Elisa Lorenzo García

Publikováno v: 16 pages, some minor and major updates. 2016
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society, American Mathematical Society, 2020, 148 (7), pp.2843-2861. ⟨10.1090/proc/14975⟩
Proceedings of the American Mathematical Society, 2020, 148 (7), pp.2843-2861. ⟨10.1090/proc/14975⟩
Proceedings of the american mathematical society, 148(7), 2843-2861
Proceedings of the American Mathematical Society, 148(7), 2843-2861. American Mathematical Society (AMS)

We give bounds on the primes of geometric bad reduction for curves of genus three of primitive CM type in terms of the CM orders. In the case of genus one, there are no primes of geometric bad reduction because CM elliptic curves are CM abelian varie

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d451da57939e1ab0efc1482f252d7de0
https://doi.org/10.1090/proc/14975

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On different expressions for invariants of hyperelliptic curves of genus 3

Autor: Elisa Lorenzo García

Publikováno v: Journal of the Mathematical Society of Japan
Journal of the Mathematical Society of Japan, 2022, 74 (2), pp.403-426. ⟨10.2969/jmsj/83418341⟩

In this paper we give a passage formula between different invariants of genus 3 hyperelliptic curves: in particular between Tsuyumine and Shioda invariants. This is needed to get modular expressions for Shioda invariants, that is, for example, useful

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::23ba721f6acfc449f5210d482a38dd77
https://hal.science/hal-03672000

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Primes Dividing Invariants of CM Picard Curves

Autor: Pınar Kılıçer, Elisa Lorenzo García, Marco Streng

Publikováno v: Canadian Journal of Mathematics
Canadian Journal of Mathematics, University of Toronto Press, 2020, 72 (2), pp.480-504. ⟨10.4153/S0008414X18000111⟩
Canadian journal of mathematics-Journal canadien de mathematiques, 72(2), 480-504
Canadian Journal of Mathematics, 72(2), 480-504. Canadian Mathematical Society
Canadian Journal of Mathematics, 2020, 72 (2), pp.480-504. ⟨10.4153/S0008414X18000111⟩

We give a bound on the primes dividing the denominators of invariants of Picard curves of genus 3 with complex multiplication. Unlike earlier bounds in genus 2 and 3, our bound is based, not on bad reduction of curves, but on a very explicit type of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b98e0e34775666279fc24adf63f97bd8
https://doi.org/10.4153/s0008414x18000111

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Reduction type of smooth plane quartics

Autor: Reynald Lercier, Elisa Lorenzo García, Qing Liu, Christophe Ritzenthaler

Publikováno v: Algebra & Number Theory
Algebra & Number Theory, 2021, 15 (6), pp.1429-1468. ⟨10.2140/ant.2021.15.1429⟩
Algebra & Number Theory, Mathematical Sciences Publishers 2021, 15 (6), pp.1429-1468. ⟨10.2140/ant.2021.15.1429⟩

International audience

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4577a56161d03155a1d960be179fe019
https://hal.science/hal-03412558

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DECOMPOSING JACOBIANS VIA GALOIS COVERS

Autor: Davide Lombardo, Christophe Ritzenthaler, Elisa Lorenzo García, Jeroen Sijsling

Publikováno v: Experimental Mathematics
Experimental Mathematics, In press, pp.1-23. ⟨10.1080/10586458.2021.1926008⟩
Experimental Mathematics, Taylor & Francis, In press, ⟨10.1080/10586458.2021.1926008⟩

Let $\phi:\,X\rightarrow Y$ be a (possibly ramified) cover between two algebraic curves of positive genus. We develop tools that may identify the Prym variety of $\phi$, up to isogeny, as the Jacobian of a quotient curve $C$ in the Galois closure of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d5d487a8ef3394c8a7eb6d380f77e4d5
https://hal.science/hal-02512858/document

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Elektronická kniha

Arithmetic, Geometry, Cryptography, and Coding Theory 2021

Autor: Samuele Anni, Valentijn Karemaker, Elisa Lorenzo García

This volume contains the proceedings of the 18th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory, held (online) from May 31 to June 4, 2021. For over thirty years, the biennial international conference AGC$^2$T (Arit

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Elektronická kniha

Women in Numbers Europe III : Research Directions in Number Theory

Autor: Alina Carmen Cojocaru, Sorina Ionica, Elisa Lorenzo García

This volume includes articles spanning several research areas in number theory, such as arithmetic geometry, algebraic number theory, analytic number theory, and applications in cryptography and coding theory. Most of the articles are the results of

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Modular invariants for genus 3 hyperelliptic curves

Autor: Maike Massierer, Pınar Kılıçer, Sorina Ionica, Kristin E. Lauter, Adelina Manzateanu, Elisa Lorenzo García, Christelle Vincent

Publikováno v: Ionica, S, Kılıçer, P, Lauter, K, Lorenzo García, E, Mânzăţeanu, A, Massierer, M & Vincent, C 2019, ' Modular invariants for genus 3 hyperelliptic curves ', Research in Number Theory, vol. 5, no. 1, 9 . https://doi.org/10.1007/s40993-018-0146-6
Research in Number Theory
Research in Number Theory, Springer, 2019, 5 (1), pp.article n°9. ⟨10.1007/s40993-018-0146-6⟩
Research in Number Theory, 5(9). Springer Nature
Research in Number Theory, 2019, 5 (1), pp.article n°9. ⟨10.1007/s40993-018-0146-6⟩

International audience; In this article we prove an analogue of a theorem of Lachaud, Ritzenthaler, and Zykin, which allows us to connect invariants of binary oc-tics to Siegel modular forms of genus 3. We use this connection to show that certain mod

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::14e75103be007695945ede53c183bec8
https://research-information.bris.ac.uk/en/publications/ce584891-be3c-47ec-ac6a-3d9ce61c0087

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On twists of smooth plane curves

Autor: Eslam Badr, Francesc Bars, Elisa Lorenzo García

Publikováno v: Mathematics of Computation
Mathematics of Computation, American Mathematical Society, In press, 〈10.1090/mcom/3317〉
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Mathematics of Computation, American Mathematical Society, 2018, 88 (315), pp.421-438. ⟨10.1090/mcom/3317⟩
Mathematics of Computation, 2018, 88 (315), pp.421-438. ⟨10.1090/mcom/3317⟩

International audience; Given a smooth curve defined over a field $k$ that admits a non-singular plane model over $\overline{k}$, a fixed separable closure of $k$, it does not necessarily have a non-singular plane model defined over the field $k$. We

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6288ff049966089971086bf0e2eecb83
https://ddd.uab.cat/record/240667

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Stable models of plane quartics with hyperelliptic reduction

Autor: Reynald Lercier, Elisa Lorenzo García, Christophe Ritzenthaler

Publikováno v: Arithmetic, Geometry, Cryptography and Coding Theory
Arithmetic, Geometry, Cryptography and Coding Theory, Jun 2019, Marseille, France

Let C/K: F = 0 be a smooth plane quartic over a complete discrete valuation field K. In a previous paper the authors togetehr with Q. Liu give various characterizations of the reduction (i.e. non-hyperelliptic genus 3 curve, hyperelliptic genus 3 cur

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