Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Ramachandran, Niranjan"'
Suppose $C$ is a smooth projective curve of genus 1 over a perfect field $F$, and $E$ is its Jacobian. In the case that $C$ has no $F$-rational points, so that $C$ and $E$ are not isomorphic, $C$ is an $E$-torsor with a class $\delta(C)\in H^1(\text{
Externí odkaz:
http://arxiv.org/abs/2212.14497
Publikováno v:
Homology, Homotopy and Applications 2022
Let $\pi: X \to S$ be a family of smooth projective curves, and let $L$ and $M$ be a pair of line bundles on $X$. We show that Deligne's line bundle $\langle{L,M}\rangle$ can be obtained from the $\mathcal{K}_2$-gerbe $G_{L,M}$ constructed in a previ
Externí odkaz:
http://arxiv.org/abs/2101.00044
We define higher categorical invariants (gerbes) of codimension two algebraic cycles and provide a categorical interpretation of the intersection of divisors on a smooth proper algebraic variety. This generalization of the classical relation between
Externí odkaz:
http://arxiv.org/abs/1510.01825
Autor:
Ramachandran, Niranjan
We provide a natural interpretation of the secondary Euler characteristic and introduce higher Euler characteristics. For a compact oriented manifold of odd dimension, the secondary Euler characteristic recovers the Kervaire semi-characteristic. We p
Externí odkaz:
http://arxiv.org/abs/1509.05089
Autor:
Ramachandran, Niranjan
Publikováno v:
Proc. Japan Acad. Ser. A Math. Sci. Volume 91, Number 5 (2015), 61-65
For any abelian variety $A$ over a number field, we construct an extension of the Tate-Shafarevich group by the Bloch-Tamagawa space using the recent work of Lichtenbaum and Flach. This gives a new example of a Zagier sequence for the Selmer group of
Externí odkaz:
http://arxiv.org/abs/1501.00640
In this short note we establish some properties of all those motivic measures which can be exponentiated. As a first application, we show that the rationality of Kapranov's zeta function is stable under products. As a second application, we give an e
Externí odkaz:
http://arxiv.org/abs/1412.1795
Autor:
Ramachandran, Niranjan
Publikováno v:
Bulletin des Sciences Mathematiques, 139(6): 599--627, 2015
We prove some results connecting the zeta functions of varieties over finite fields with the big Witt ring over $\mathbb Z$. We explore relations with motivic measures and a classical formula of Macdonald on invariants of symmetric products of a vari
Externí odkaz:
http://arxiv.org/abs/1407.1813
Autor:
ALDROVANDI, ETTORE1 aldrovandi@math.fsu.edu, RAMACHANDRAN, NIRANJAN2 atma@math.umd.edu
Publikováno v:
Homology, Homotopy & Applications. 2023, Vol. 25 Issue 1, p21-51. 31p.
Autor:
Milne, James, Ramachandran, Niranjan
Beginning with the conjecture of Artin and Tate in 1966, there has been a series of successively more general conjectures expressing the special values of the zeta function of an algebraic variety over a finite field in terms of other invariants of t
Externí odkaz:
http://arxiv.org/abs/1311.3166
The p-cohomology of an algebraic variety in characteristic p lies naturally in the category $D_{c}^{b}(R)$ of coherent complexes of graded modules over the Raynaud ring (Ekedahl-Illusie-Raynaud). We study homological algebra in this category. When th
Externí odkaz:
http://arxiv.org/abs/1310.4469