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Results tagged with ag.algebraic-geometry
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user 68790
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
3
votes
1
answer
224
views
Non existence of stable vector bundles on $\mathbb{P}^4$ with $c_1=0$ and $c_2=1$
The Horrocks–Mumford bundle is the only known rank 2 vector bundle on $\mathbb{P}^4$ which is not split.
My question is:
How to prove that there is no a rank 2 stable vector bundle on $\mathbb{P}^4 …
- 93
4
votes
Chern class of a logarithmic connection
There exist a paper due to Makoto Ohtsuki about a Residue Formula for Chern Classes Associated with Logarithmic Connections:
http://projecteuclid.org/download/pdf_1/euclid.tjm/1270215030
- 93
2
votes
1
answer
138
views
Relation between intersection multiplicities
Consider $(f_1,\dots,f_n), (g_1,\dots,g_n)\in \mathbb{C}[z_1,\dots,z_n]\ $ such that:
i) $\{f_1=\dots=f_n=0\}= \{g_1=\dots=g_n=0\}=\{0\}\in \mathbb{C}^n\ $ and
ii) $f_1g_1+\dots+f_ng_n\equiv0$. …
- 93