Specialization of birational types

By M. Kontsevich, Yuri Tschinkel. Inventiones Mathematicae, 2017

92 citations recorded by the source corpus.

We introduce a simplified version of the Grothendieck group of algebraic varieties and use it to show that birational types specialize in families with mild singularities of the central fiber.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/d27dbc7bb1288a53c9208c4e6072a64fe63dee5c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Johannes Nicaise
2. Evgeny Shinder

In Geometry and Topology

1. Johannes Nicaise
2. Evgeny Shinder
3. M. Temkin
4. L. H. Halle

In Mathematical Physics

1. Johannes Nicaise
2. Evgeny Shinder
3. M. Temkin
4. L. H. Halle

Citations in the corpus

• The motivic nearby fiber and degeneration of stable rationality (2017, methodology): “ity to rationality. Even though the main theorem of [KT17] is strictly stronger than ours, we believe that our method is still of independent interest. Firstly, a typical application of the result in [KT17] is to disprove rationality by means of a degeneration argument, and this can often be achieve”