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Bridgeland stability conditions and skew lines on ℙ3.
- Source :
-
Communications in Algebra . 2024, Vol. 52 Issue 7, p3081-3114. 34p. - Publication Year :
- 2024
-
Abstract
- Inspired by Schmidt's work on twisted cubics, we study wall crossings in Bridgeland stability, starting with the Hilbert scheme Hilb 2 m + 2 (P 3) parametrizing pairs of skew lines and plane conics union a point. We find two walls. Each wall crossing corresponds to a contraction of a divisor in the moduli space and the contracted space remains smooth. Building on work by Chen–Coskun–Nollet, we moreover prove that the contractions are K-negative extremal in the sense of Mori theory and so the moduli spaces are projective. [ABSTRACT FROM AUTHOR]
- Subjects :
- *PROJECTIVE spaces
*MODULI theory
*CONIC sections
Subjects
Details
- Language :
- English
- ISSN :
- 00927872
- Volume :
- 52
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 176722174
- Full Text :
- https://doi.org/10.1080/00927872.2024.2314685