Towards the leading constant in Stacky Manin’s conjecture
Abstract: Manin’s conjecture is a famous conjecture in arithmetic geometry, predicting asymptotically the number of rational points of bounded height on Fano varieties. In a breaking recent advance, the researcher and Yasuda have...
ver más
¿Tienes un proyecto y buscas un partner? Gracias a nuestro motor inteligente podemos recomendarte los mejores socios y ponerte en contacto con ellos. Te lo explicamos en este video
Proyectos interesantes
GWT
Gromov Witten Theory Mirror Symmetry Birational Geometry...
2M€
Cerrado
GIANT
Generalised Integrality and Applications to Number Theory
Cerrado
DIOPHANTINE PROBLEMS
Integral and Algebraic Points on Varieties Diophantine Prob...
929K€
Cerrado
IWTHEGAR
Iwasawa theory of Galois representations
100K€
Cerrado
MTM2010-15296
REPRESENTACIONES Y CARACTERES DE GRUPOS FINITOS
48K€
Cerrado
PariTorMod
P adic Arithmetic Geometry Torsion Classes and Modularity
1M€
Cerrado
Información proyecto Stacky Manin
Duración del proyecto: 28 meses
Fecha Inicio: 2024-04-04
Fecha Fin: 2026-08-31
Líder del proyecto
SABANCI UNIVERSITESI
No se ha especificado una descripción o un objeto social para esta compañía.
TRL
4-5
Presupuesto del proyecto
148K€
Fecha límite de participación
Sin fecha límite de participación.
Descripción del proyecto
Abstract: Manin’s conjecture is a famous conjecture in arithmetic geometry, predicting asymptotically the number of rational points of bounded height on Fano varieties. In a breaking recent advance, the researcher and Yasuda have [Darda-Yasuda]extended it to stacks, which explains Malle’s conjecture on the number of Galois extensions with fixed Galois group of bounded discriminant. The leading constant in the asymptotic formula, however, remains unknown. A reason for this is that we still have very little verified examples of Stacky Manin’s conjecture. In this proposal, we identify a class of stacks for which the conjecture seems to be approachable, namely, the class of smooth complete intersections in weighted projective stacks which enjoys rich geometric properties. We then plan to analyze the obtained constant, compare it with existing examples, to guess the shape in the general case.