Projective and birational geometry of Grassmannians and other special varieties

2017/05/16 by Rick Rischter, Rischter, Rick
Mathematics · #14E05 (Primary) 14L10 #14M15 (Secondary) #14N05 #14N15 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.1705.05673

openalex publication_date 2017/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the first part of the thesis, we study a classical invariant of projective varieties, the secant defectivity. The second part is devoted to modern algebraic geometry, we study the birational geometry of blow-ups of Grassmannians at points.

Citations

• Scorza quartics of trigonal spin curves and their varieties of power sums
• On the classification of defective threefolds

Related

• Secant Varieties and Birational Geometry
• Geometric Invariant Theory and Birational Geometry
• Bilinear secants and birational geometry of blowups of \mathbb Pⁿ × \mathbb Pⁿ⁺¹
• Birational geometry of defective varieties
• Birational geometry of algebraic varieties