Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Halle, Lars Halvard"'
We perform a systematic study of the base change conductor for Jacobians. Through the lens of intersection theory and Deligne's Riemann-Roch theorem, we present novel computational approaches for both the tame and wild parts of the base change conduc
Externí odkaz:
http://arxiv.org/abs/2410.15370
Autor:
Halle, Lars Halvard, Nicaise, Johannes
We study motivic zeta functions of degenerating families of Calabi-Yau varieties. Our main result says that they satisfy an analog of Igusa's monodromy conjecture if the family has a so-called Galois-equivariant Kulikov model; we provide several clas
Externí odkaz:
http://arxiv.org/abs/1701.09155
We study Calabi-Yau threefolds fibered by abelian surfaces, in particular, their arithmetic properties, e.g., N\'eron models and Zariski density.
Comment: 18 pages
Comment: 18 pages
Externí odkaz:
http://arxiv.org/abs/1610.02541
Autor:
Halle, Lars Halvard, Rose, Simon
We investigate the problem of counting tropical genus g curves in g-dimensional tropical abelian varieties. For g = 2, 3, we prove that the tropical count matches the count provided by G\"ottsche, Bryan-Leung, and Lange-Sernesi in the complex setting
Externí odkaz:
http://arxiv.org/abs/1606.03707
Let $A$ be an abelian variety over a discretely valued field. Edixhoven has defined a filtration on the special fiber of the N\'eron model of $A$ that measures the behaviour of the N\'eron model under tame base change. We interpret the jumps in this
Externí odkaz:
http://arxiv.org/abs/1403.5538
Autor:
Halle, Lars Halvard, Nicaise, Johannes
We study various aspects of the behaviour of N\'eron models of semi-abelian varieties under finite extensions of the base field, with a special emphasis on wildly ramified Jacobians. In Part 1, we analyze the behaviour of the component groups of the
Externí odkaz:
http://arxiv.org/abs/1209.5556
Autor:
Halle, Lars Halvard, Nicaise, Johannes
This is a survey on motivic zeta functions associated to abelian varieties and Calabi-Yau varieties over a discretely valued field. We explain how they are related to Denef and Loeser's motivic zeta function associated to a complex hypersurface singu
Externí odkaz:
http://arxiv.org/abs/1012.4969
Autor:
Halle, Lars Halvard, Nicaise, Johannes
We prove a strong form of the motivic monodromy conjecture for abelian varieties, by showing that the order of the unique pole of the motivic zeta function is equal to the size of the maximal Jordan block of the corresponding monodromy eigenvalue. Mo
Externí odkaz:
http://arxiv.org/abs/1009.3777
Autor:
Halle, Lars Halvard, Nicaise, Johannes
We introduce the N\'eron component series of an abelian variety $A$ over a complete discretely valued field. This is a power series in $\Z[[T]]$, which measures the behaviour of the number of components of the N\'eron model of $A$ under tame ramifica
Externí odkaz:
http://arxiv.org/abs/0910.1816