Zobrazeno 1 - 10
of 100 225
pro vyhledávání: '"Mathematics - Algebraic Geometry"'
Autor:
Feliu, Elisenda, Henriksson, Oskar
In this paper, we present new necessary conditions and sufficient conditions for the (positive parts of) the varieties of vertically parametrized systems to admit monomial parametrizations. The conditions are based on a combination of polyhedral geom
Externí odkaz:
http://arxiv.org/abs/2411.15134
Autor:
Petrella, Gianni
We embed several copies of the derived category of a quiver and certain line bundles in the derived category of an associated moduli space of representations, giving the start of a semiorthogonal decomposition. This mirrors the semiorthogonal decompo
Externí odkaz:
http://arxiv.org/abs/2411.15125
Autor:
Ye, Fei
We show that the second Jacobian ideal of a hypersurface can be decomposed such that a power of the Jacobian ideal becomes a factor. As an application of the decomposition, we present an elementary proof establishing that the second Nash blow-up alge
Externí odkaz:
http://arxiv.org/abs/2411.15097
Autor:
Hausen, Jürgen, Király, Katharina
We give an explicit description of all quasismooth, rational, projective surfaces of Picard number one that admit a non-trivial torus action and have an integral canonical self intersection number.
Comment: 38 pages
Comment: 38 pages
Externí odkaz:
http://arxiv.org/abs/2411.15079
We define a Hopf algebra of polylogarithms of an infinite field, which is a candidate for a conjectural Hopf algebra of framed mixed Tate motives. Our definition is elementary and mimics Goncharov's construction of higher Bloch groups. We also discus
Externí odkaz:
http://arxiv.org/abs/2411.15071
We explicitly describe the Albanese morphism of a hyperelliptic variety, i.e., the quotient $X$ of an abelian variety $A$ by a finite group $G$ acting freely and not only by translations, by giving a description of the Albanese variety and the Albane
Externí odkaz:
http://arxiv.org/abs/2411.14814
Autor:
Schaub, Daniel, Spivakovsky, Mark
The Casas--Alvero conjecture predicts that every univariate polynomial over a field of characteristic zero having a common factor with each of its derivatives $H_i(f)$ is a power of a linear polynomial. One approach to proving the conjecture is to fi
Externí odkaz:
http://arxiv.org/abs/2411.13967
Autor:
Imaike, Dai
We study the boundary behavior of the invariant of $K3^{[2]}$-type manifolds with antisymplectic involution, which we obtained using equivariant analytic torsion. We show the algebraicity of the singularity of the invariant by using the asymptotic of
Externí odkaz:
http://arxiv.org/abs/2411.13911
Autor:
Liendo, Alvaro, Petitjean, Charlie
In this paper, we classify smooth, contractible affine varieties equipped with faithful torus actions of complexity two, having a unique fixed point and a two-dimensional algebraic quotient isomorphic to a toric blow-up of a toric surface. These vari
Externí odkaz:
http://arxiv.org/abs/2411.14645
Under the assumption that the adjusted Brill-Noether number $\widetilde{\rho}$ is at least $-g$, we prove that the Brill-Noether loci in $\mathcal{M}_{g,n}$ of pointed curves carrying pencils with prescribed ramification at the marked points have a c
Externí odkaz:
http://arxiv.org/abs/2411.14562