bio  website  math.washington.edu/~kovacs 

location  Seattle, WA  
age  
visits  member for  4 years, 10 months 
seen  1 hour ago  
stats  profile views  7,477 
I am an algebraic geometer.
1h

awarded  Nice Answer 
Jul 25 
awarded  Good Answer 
Jul 24 
revised 
Intuition behind the Kodaira Vanishing Theorem?
deleted 317 characters in body 
Jul 23 
answered  Intuition behind the Kodaira Vanishing Theorem? 
Jul 23 
comment 
Intuition behind the Kodaira Vanishing Theorem?
I'm not sure what you are asking. There are many proofs available. I think the easiest way to see that a theorem is true is to read a proof. I personally like Kollár's proof: goo.gl/bzE5Ho 
Jul 22 
answered  pull back of an ample line bundle under a blow up 
Jul 1 
revised 
The canonical bundle of an infinitesimal deformation
added 4 characters in body 
Jul 1 
comment 
The canonical bundle of an infinitesimal deformation
Right, of course. I guess I got stock in the proper world by the wording of the question... :) 
Jun 30 
answered  The canonical bundle of an infinitesimal deformation 
Jun 26 
comment 
Morphisms contracting a family of curves
Hi Roy, this sounds good. It's a nice proof assuming that $Y$ is projective. The statement is still true assuming that $g$ is proper and $f$ is arbitrary (plus the connectivity assumptions). (Which is what I had in mind all along so I thought that there cannot be such a simple proof. But there is one with $Y$ projective). Cheers! :) 
Jun 25 
comment 
Morphisms contracting a family of curves
Roy: I am not sure how that works if you only know that a special fiber is contracted. In that case the general hyperplane section will miss the point where that special fiber maps and thus does not give any information. No? 
Jun 25 
answered  Morphisms contracting a family of curves 
Jun 12 
revised 
is there a pattern here showing up or it's simply a coincidence?
added 1 character in body 
Jun 11 
revised 
Projective dimension of zero module
deleted 3 characters in body 
Jun 2 
awarded  Necromancer 
May 28 
awarded  Nice Answer 
May 27 
comment 
how does one understand GRR? (Grothendieck Riemann Roch)
@GregorBruns: You are absolutely correct, I left out a term (I had curves in my mind), but I now corrected it. Thanks for spotting the omission! 
May 27 
revised 
how does one understand GRR? (Grothendieck Riemann Roch)
corrected the exponential Chern character of L and the consequences of this correction. 
May 26 
comment 
On the number of irreducible components of an exceptional divisor
@JeskoHüttenhain:It's actually not surprising. Think about the case of a quadric cone and a ruling. If you blow up the line with the reduced scheme structure, you get the same as if you blew up the point, because it is not a Cartier divisor. But if you blow up the double line, then nothing happens, because you blew up a Cartier divisor. Similar things can happen if X is smooth, but Z is singular. 
May 26 
answered  On the number of irreducible components of an exceptional divisor 