| Autor: |
Alaoui Soulimani, Sammy, Gulbrandsen, Martin G. |
| Předmět: |
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| Zdroj: |
Communications in Algebra; 2024, Vol. 52 Issue 7, p3081-3114, 34p |
| Abstrakt: |
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] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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