Zobrazeno 1 - 10
of 573
pro vyhledávání: '"14Q15"'
Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Following the paradigm of numerical algebraic geometry, an algebraic subvariety at a point is represen
Externí odkaz:
http://arxiv.org/abs/2412.17952
Autor:
Ciliberto, Ciro, Miranda, Rick
In this paper we present a variety of statements that are in the spirit of the famous theorem of Pascal, often referred to as the Mystic Hexagon. We give explicit equations describing the conditions for $d+4$ points to lie on rational normal curves.
Externí odkaz:
http://arxiv.org/abs/2411.07638
Using techniques coming from the theory of marked bases, we develop new computational methods for detection and construction of Cohen-Macaulay, Gorenstein and complete intersection homogeneous polynomial ideals. Thanks to the functorial properties of
Externí odkaz:
http://arxiv.org/abs/2410.17090
Autor:
Lotter, Felix, Schmitz, Leonard
We prove that, unlike in the case of paths, the signature matrix of a membrane does not satisfy any algebraic relations. We derive novel closed-form expressions for the signatures of polynomial membranes and piecewise bilinear interpolations for arbi
Externí odkaz:
http://arxiv.org/abs/2409.11996
The Euler characteristic of a very affine variety encodes the algebraic complexity of solving likelihood (or scattering) equations on this variety. We study this quantity for the Grassmannian with $d$ hyperplane sections removed. We provide a combina
Externí odkaz:
http://arxiv.org/abs/2409.04288
Autor:
Dartois, Pierrick
Dimension 4 isogenies have first been introduced in cryptography for the cryptanalysis of Supersingular Isogeny Diffie-Hellman (SIDH) and have been used constructively in several schemes, including SQIsignHD, a derivative of SQIsign isogeny based sig
Externí odkaz:
http://arxiv.org/abs/2407.15492
Algebraic boundaries of convex semi-algebraic sets are closely related to polynomial optimization problems. Building upon Rainer Sinn's work, we refine the stratification of iterated singular loci to a Whitney (a) stratification, which gives a list o
Externí odkaz:
http://arxiv.org/abs/2406.04681
We use arithmetic and Hodge-theoretic techniques to study pencils of Calabi-Yau varieties realized as highly symmetric hypersurfaces in Grassmannians and their quotients, demonstrating that their geometric properties are distinct from the classical m
Externí odkaz:
http://arxiv.org/abs/2403.15898
Rolling shutter (RS) cameras dominate consumer and smartphone markets. Several methods for computing the absolute pose of RS cameras have appeared in the last 20 years, but the relative pose problem has not been fully solved yet. We provide a unified
Externí odkaz:
http://arxiv.org/abs/2403.11295
We derive algebraic equations on the coefficients of the implicit equation to characterize all Dupin cyclides passing through a fixed circle. The results are applied to solve the basic problems in CAGD about blending of Dupin cyclides along circles.<
Externí odkaz:
http://arxiv.org/abs/2402.13819