bio | website | math.jussieu.fr/~diverio |
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location | Paris | |
age | 34 | |
visits | member for | 4 years, 2 months |
seen | 8 hours ago | |
stats | profile views | 2,848 |
I am a researcher in complex analytic and algebraic geometry at the Institut de MathÃ©matiques de Jussieu.
Dec 3 |
comment |
Stability condition for vector bundles
Hi Angelo, maybe there is something that I am missing, but I cannot understand completely your last argument. Why do you mention the fact that every extension of line bundles on $\mathbb P^2$ splits? In any case, if $E$ fits in a short exact sequence of vector bundles, say with left and right terms respectively $\mathcal O(a)$ and $\mathcal O(b)$, then its Chern classes are given respectively by $a+b$ and $ab$, and one may certainly choose $k$ and $m$ to be not of that form, isn't it? |
Nov 18 |
reviewed | Approve Determinant of a determinant |
Oct 7 |
awarded | Yearling |
Sep 30 |
awarded | Explainer |
Jul 9 |
comment |
Non projective hyperbolic compact complex space
thank you Misha for this insight! so it seems that you think that it is likely that non kähler compact manifolds are all non hyperbolic, right? |
Jul 8 |
revised |
Non projective hyperbolic compact complex space
added 54 characters in body |
Jul 7 |
asked | Non projective hyperbolic compact complex space |
Jul 2 |
awarded | Curious |
Jun 20 |
revised |
Embedding algebraic surfaces in projective space
edited body |
Jun 17 |
comment |
Extending holomorphic functions
Connectedness of the complement of $K$ is necessary only if one wants uniqueness of the extended function! |
Jun 12 |
awarded | Necromancer |
May 24 |
revised |
examples of Kähler manifolds with trivial odd Betti numbers and first Chern classes
fixed typos on the last line |
May 18 |
awarded | Custodian |
May 18 |
reviewed | Approve Exact short sequences of vector spaces |
Mar 18 |
awarded | Excavator |
Mar 18 |
revised |
Why is Proj of any graded ring isomorphic to Proj of a graded ring generated in degree one?
added dollars in formuale. |
Feb 23 |
comment |
Rational or elliptic curves on Calabi-Yau threefolds
@LiYutong, this is because trivial canonical class implies existence of Ricci flat Kähler metrics (this is Yau), then Kobayashi-Lübke inequalities give you that $c_2(X)\ge 0$ and you have equality if and only if the Ricci flat metric is indeed flat itself. Now you conclude by the classical Bieberbach theorem. |
Nov 13 |
awarded | Enlightened |
Nov 13 |
awarded | Nice Answer |
Oct 7 |
awarded | Yearling |