A matryoshka structure of higher secant varieties and the generalized Bronowski's conjecture

DOI10.1016/j.aim.2022.108526zbMath1497.14103arXiv2103.02412OpenAlexW3135902769WikidataQ113880935 ScholiaQ113880935MaRDI QIDQ2161297

Sijong Kwak, Junho Choe

Publication date: 4 August 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.02412

zbMATH Keywords

Betti numberssecant varietiesBronowski conjecture

Mathematics Subject Classification ID

Varieties of low degree (14N25) Syzygies, resolutions, complexes and commutative rings (13D02) Secant varieties, tensor rank, varieties of sums of powers (14N07)

Uses Software

• Macaulay2

Cites Work

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• Linear free resolutions and minimal multiplicity
• Koszul cohomology and the geometry of projective varieties. Appendix: The nonvanishing of certain Koszul cohomology groups (by Mark Green and Robert Lazarsfeld)
• Varieties with minimal secant degree and linear systems of maximal dimension on surfaces
• On the geometry of some special projective varieties
• The gonality conjecture on syzygies of algebraic curves of large degree
• On the dimension of secant varieties
• On a theorem of Castelnuovo, and the equations defining space curves
• The canonical ring of a variety of general type
• Moduli of rank-2 vector bundles, theta divisors, and the geometry of curves in projective space
• Geometric syzygies of elliptic normal curves and their secant varieties
• Laudal-type theorems in \(\mathbb{P}^N\)
• Singularities and syzygies of secant varieties of nonsingular projective curves
• Sharp bounds for higher linear syzygies and classifications of projective varieties
• Syzygies of the secant variety of a curve
• On non-normal del Pezzo varieties
• Analysis on some infinite modules, inner projection, and applications
• Restricting linear syzygies: algebra and geometry
• On the Tangentially Degenerate Curves
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• Genre des courbes de l'espace projectif
• Special subhomaloidal systems of quadrics and varieties with one apparent double point
• On surfaces with two apparent double points
• PROJECTIONS OF ALGEBRAIC VARIETIES
• Varieties with one apparent double point
• Prolongations and Computational Algebra

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