3,437 reputation
1030
bio website math.jussieu.fr/~diverio
location Paris
age 34
visits member for 3 years, 11 months
seen 18 hours ago

I am a researcher in complex analytic and algebraic geometry at the Institut de Mathématiques de Jussieu.


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 suggested edit on 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
Sep
30
revised When is $f(x_1, \dots, x_n)+c$ an irreducible polynomial for almost all constants $c$?
fixed a typo in the name of Angelo Vistoli.
Sep
30
comment Euler Sequence on Homogeneous Spaces
Your proof is more or less the proof I knew...
Sep
23
comment motivation for multiplier ideal sheaves
I don't think I have much to add to this very detailed answer. It is anyhow amazing how many others applications there are, completely independent of the original motivation! For an excellent reference, see Lazarsfeld's book "Positivity in Algebraic Geometry".
Sep
23
comment motivation for multiplier ideal sheaves
Since you wrote my name explicitly, I'll try to write something later :)