On special quadratic birational transformations whose base locus has dimension at most three

Abstract

We study birational transformations P^n--->S \subseteq P^N defined by linear systems of quadrics whose base locus is smooth and irreducible of dimension \leq3 and whose image S is sufficiently regular.

Minor changes

Cited by in corpus (4)

• Quadro-quadric special birational transformations of projective spaces
• Examples of special quadratic birational transformations into complete intersections of quadrics
• Special cubic Cremona transformations of ${\mathbb{P}}^6$ and ${\mathbb{P}}^7$
• Special cubic birational transformations of projective spaces