scholarly journals Thom polynomials in $\mathcal A$-classification I: counting singular projections of a surface

2018 ◽  
pp. 237-259
Author(s):  
Takahisa Sasajima ◽  
Toru Ohmoto
Keyword(s):  
Thom Polynomials

Elimination of Singularities: Thom Polynomials and Beyond

2013 ◽  
pp. 291-304 ◽  
Author(s):  
Osamu Saeki ◽  
Kazuhiro Sakuma
Keyword(s):  
Thom Polynomials

scholarly journals Thom polynomials and Schur functions: the singularities III2,3(-)

2010 ◽  
Vol 99 (3) ◽  
pp. 295-304 ◽  
Author(s):  
Özer Öztürk
Keyword(s):  
Schur Functions ◽  
Thom Polynomials

scholarly journals Thom polynomials and Schur functions: the singularities I_{2,2}(-)

2007 ◽  
Vol 57 (5) ◽  
pp. 1487-1508 ◽  
Author(s):  
Piotr Pragacz
Keyword(s):  
Schur Functions ◽  
Thom Polynomials

Thom Polynomials and the Green–Griffiths–Lang Conjecture for Hypersurfaces with Polynomial Degree

2017 ◽  
Vol 2019 (22) ◽  
pp. 7037-7092
Author(s):  
Gergely Bérczi
Keyword(s):  
Algebraic Variety ◽  
General Type ◽  
Algebraic Model ◽  
Holomorphic Curves ◽  
Complex Manifolds ◽  
Projective Hypersurface ◽  
Polynomial Degree ◽  
Residue Formula ◽  
Thom Polynomials ◽  
Complex Projective

Abstract Green and Griffiths [25] and Lang [29] conjectured that for every complex projective algebraic variety X of general type there exists a proper algebraic subvariety of X containing all nonconstant entire holomorphic curves $f:{\mathbb{C}} \to X$. We construct a compactification of the invariant jet differentials bundle over complex manifolds motivated by an algebraic model of Morin singularities and we develop an iterated residue formula using equivariant localisation for tautological integrals over it. Using this we show that the polynomial Green–Griffiths–Lang conjecture for a generic projective hypersurface of degree $\deg (X)>2n^{9}$ follows from a positivity conjecture for Thom polynomials of Morin singularities.

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