Birational properties of pencils of del Pezzo surfaces of degrees 1 and 2

By M. Grinenko. 2000

62 citations recorded by the source corpus.

The problem of birational rigidity is investigated for smooth Mori fibre spaces representable as a pencil of del Pezzo surfaces of degree 1 or 2.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/271370ae86f3e1ca373b722fa9424cf02a3b8abf

How researchers see this paper

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

In Discrete Mathematics and Combinatorics

1. Ivan Cheltsov
2. Constantin Shramov
3. Gavin Brown
4. Francesco Zucconi
5. Alessio Corti
6. M. Mustaţă

In Geometry and Topology

1. Constantin Shramov
2. Ivan Cheltsov
3. V. Przyjalkowski
4. Gavin Brown
5. Francesco Zucconi
6. Alessio Corti
7. Yuri Prokhorov
8. M. Mustaţă

Citations in the corpus

• Hyperelliptic and trigonal Fano threefolds (2004, background): “11) from the results of [22], [62], [54], [37], [16], [31]–[33], [60], [38], [52], [34], [28], [29], [61], [111], [5], [82], [63], [98], [64], [6], [102], [7], [59].”
• Birational Geometry of 3-fold Mori Fibre Spaces (2003, background): “stated in term of a geometrically more natural condition, whose importance was also recognised in work by Grinenko [Gric, Conjecture 1.5] [ Gri00a , Conjecture 1.6] [Gria, Conjecture 2.5].”