Complete singular collineations and quadrics

Autor: Casarotti, Alex, Corniani, Elsa, Massarenti, Alex
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
Popis: We construct wonderful compactifications of the spaces of linear maps, and symmetric linear maps of a given rank as blow-ups of secant varieties of Segre and Veronese varieties. Furthermore, we investigate their birational geometry and their relations with some spaces of degree two stable maps.
Comment: 23 pages. Exposition improved and proof of Proposition 4.1 simplified thanks to the comments of the referee. Added a section on the positivity of the anti-canonical divisor of the compactifications. arXiv admin note: text overlap with arXiv:2012.13999
Databáze: arXiv