Zeta-function of the monodromy for complete intersection singularities

1984 ◽  
Vol 25 (2) ◽  
pp. 1051-1057 ◽  
Author(s):  
A. N. Kirillov

1996 ◽  
Vol 29 (3) ◽  
pp. 287-328 ◽  
Author(s):  
Alan Adolphson ◽  
Steven Sperber




2008 ◽  
Vol 52 (2) ◽  
pp. 389-417 ◽  
Author(s):  
Alan Adolphson ◽  
Steven Sperber


2019 ◽  
Vol 7 ◽  
Author(s):  
PAOLO ALUFFI

The Chern–Schwartz–MacPherson class of a hypersurface in a nonsingular variety may be computed directly from the Segre class of the Jacobian subscheme of the hypersurface; this has been known for a number of years. We generalize this fact to arbitrary embeddable schemes: for every subscheme $X$ of a nonsingular variety  $V$ , we define an associated subscheme $\mathscr{Y}$ of a projective bundle $\mathscr{V}$ over $V$ and provide an explicit formula for the Chern–Schwartz–MacPherson class of $X$ in terms of the Segre class of  $\mathscr{Y}$ in  $\mathscr{V}$ . If $X$ is a local complete intersection, a version of the result yields a direct expression for the Milnor class of $X$ . For $V=\mathbb{P}^{n}$ , we also obtain expressions for the Chern–Schwartz–MacPherson class of  $X$ in terms of the ‘Segre zeta function’ of $\mathscr{Y}$ .



Author(s):  
Javier Majadas ◽  
Antonio G. Rodicio


2015 ◽  
Vol 4 (4) ◽  
pp. 28-33
Author(s):  
Dr. T. Ram Reddy ◽  
◽  
R. Bharavi Sharma ◽  
K. Rajya Lakshmi ◽  
◽  
...  


2019 ◽  
Vol 210 (12) ◽  
pp. 1753-1773 ◽  
Author(s):  
A. Laurinčikas ◽  
J. Petuškinaitė


Sign in / Sign up

Export Citation Format

Share Document