Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Kulkarni, Avinash P."'
Autor:
Bruin, Nils, Kulkarni, Avinash
We consider the question of when a Jacobian of a curve of genus $2g$ admits a $(2,2)$-isogeny to two polarized dimension $g$ abelian varieties. We find that one of them must be a Jacobian itself and, if the associated curve is hyperelliptic, so is th
Externí odkaz:
http://arxiv.org/abs/2309.01959
We compute a complete set of isomorphism classes of cubic fourfolds over $\mathbb{F}_2$. Using this, we are able to compile statistics about various invariants of cubic fourfolds, including their counts of points, lines, and planes; all zeta function
Externí odkaz:
http://arxiv.org/abs/2306.09908
Autor:
Assaf, Eran, Babei, Angelica, Breen, Ben, Costa, Edgar, Duque-Rosero, Juanita, Horawa, Aleksander, Kieffer, Jean, Kulkarni, Avinash, Molnar, Grant, Schiavone, Sam, Voight, John
We describe algorithms for computing geometric invariants for Hilbert modular surfaces, and we report on their implementation.
Comment: 27 pages, to appear in LuCaNT proceedings
Comment: 27 pages, to appear in LuCaNT proceedings
Externí odkaz:
http://arxiv.org/abs/2301.10302
Let $K$ be a nonarchimedean local field of characteristic zero with valuation ring $R$, for instance, $K=\mathbb{Q}_p$ and $R=\mathbb{Z}_p$. We prove a general integral geometric formula for $K$-analytic groups and homogeneous $K$-analytic spaces, an
Externí odkaz:
http://arxiv.org/abs/2206.03708
Sixteen points in $\mathbb{P}^4$ and the inverse Galois problem for del Pezzo surfaces of degree one
Autor:
Kulkarni, Avinash
A del Pezzo surface of degree one defined over the rationals has 240 exceptional curves. These curves are permuted by the action of the absolute Galois group. We show how a solution to the classical inverse Galois problem for a subgroup of the Weyl g
Externí odkaz:
http://arxiv.org/abs/2109.14106
From a block-diagonal $(n+1) \times (m+1) \times (m+1)$ tensor symmetric in the last two entries one obtains two varieties: an intersection of symmetric determinantal hypersurfaces $X$ in $n$-dimensional projective space, and an intersection of quadr
Externí odkaz:
http://arxiv.org/abs/2109.08740
Autor:
Kulkarni, Avinash, Vaccon, Tristan
The QR-algorithm is one of the most important algorithms in linear algebra. Its several variants make feasible the computation of the eigenvalues and eigenvectors of a numerical real or complex matrix, even when the dimensions of the matrix are enorm
Externí odkaz:
http://arxiv.org/abs/2009.00129
The Gauss-Manin connection of a family of hypersurfaces governs the change of the period matrix along the family. This connection can be complicated even when the equations defining the family look simple. When this is the case, it is computationally
Externí odkaz:
http://arxiv.org/abs/2007.13786
We show that the eigenschemes of $4 \times 4 \times 4$ symmetric tensors are parametrized by a linear subvariety of the Grassmannian $\operatorname{Gr}(3,\mathbb{P}^{14})$. We also study the decomposition of the eigenscheme into the subscheme associa
Externí odkaz:
http://arxiv.org/abs/1909.06261
Autor:
Kulkarni, Avinash, Lerario, Antonio
We prove a $p$-adic version of the Integral Geometry Formula for averaging the intersection of two $p$-adic projective algebraic sets. We apply this result to give bounds on the number of points in the modulo $p^m$ reduction of a projective set (repr
Externí odkaz:
http://arxiv.org/abs/1908.04775