Results 71 to 80 of about 2,108,594 (166)
Cartwright–Sturmfels Hilbert schemes
Abstract Let S$S$ be the Cox ring of a product of r$r$ projective spaces. In this paper, we study the Cartwright–Sturmfels Hilbert schemes of S$S$, which are multigraded Hilbert schemes that parameterize only radical ideals. Our main result shows that these Hilbert schemes are always smooth and irreducible if the Picard rank r$r$ is at most 2.
Ritvik Ramkumar, Alessio Sammartano
wiley +1 more source
We study the property of continuous Castelnuovo-Mumford regularity, for semihomogeneous vector bundles over a given Abelian variety, which was formulated in A. Küronya and Y. Mustopa [Adv. Geom. 20 (2020), no. 3, 401-412].
Nathan Grieve
doaj
h$h$‐Function, Hilbert–Kunz density function and Frobenius–Poincaré function
Abstract Given ideals I,J$I,J$ of a noetherian local ring (R,m)$(R, \mathfrak {m})$ such that I+J$I+J$ is m$\mathfrak {m}$‐primary and a finitely generated R$R$‐module M$M$, we associate an invariant of (M,R,I,J)$(M,R,I,J)$ called the h$h$‐function.
Cheng Meng, Alapan Mukhopadhyay
wiley +1 more source
Cyclic coverings of genus $2$ curves of Sophie Germain type
We consider cyclic unramified coverings of degree d of irreducible complex smooth genus $2$ curves and their corresponding Prym varieties. They provide natural examples of polarized abelian varieties with automorphisms of order d.
J.C. Naranjo, A. Ortega, I. Spelta
doaj +1 more source
The monodromy pairing and discrete logarithm on the Jacobian of finite graphs
Every graph has a canonical finite abelian group attached to it. This group has appeared in the literature under a variety of names including the sandpile group, critical group, Jacobian group, and Picard group.
Shokrieh Farbod
doaj +1 more source
THE MOTIVE OF THE HILBERT CUBE $X^{[3]}$
The Hilbert scheme $X^{[3]}$ of length-3 subschemes of a smooth projective variety $X$
MINGMIN SHEN, CHARLES VIAL
doaj +1 more source
The weak scale from weak gravity
We explore the prospects for bounding the weak scale using the weak gravity conjecture (WGC), addressing the hierarchy problem by violating the expectations of effective field theory.
Nathaniel Craig +2 more
doaj +1 more source
Non-invertible anyon condensation and level-rank dualities
We derive new dualities of topological quantum field theories in three spacetime dimensions that generalize the familiar level-rank dualities of Chern-Simons gauge theories.
Clay Córdova, Diego García-Sepúlveda
doaj +1 more source
Composite Dirac Liquids: Parent States for Symmetric Surface Topological Order
We introduce exotic gapless states—“composite Dirac liquids”—that can appear at a strongly interacting surface of a three-dimensional electronic topological insulator.
David F. Mross +2 more
doaj +1 more source
Some Questions on the Ideal Class Group of Imaginary Abelian Fields [PDF]
Let k be an imaginary quadratic field. Assume that the class number of k is exactly an odd prime number p, and p splits into two distinct primes in k. Then it is known that a prime ideal lying above p is not principal.
Itoh, Tsuyoshi
core +1 more source

