On the factorization of consecutive integers 1
... to show that the polynomial Lm (x) is irreducible for each integer m > 2 with m ≡ 2 (mod 4), whence, following the work of I. Schur [16, 17] and R. Gow [8], there is, for every integer m ≥ 2, a generalized Laguerre polynomial of degree m having Galois group the alternating group Am . The layout of t ...
... to show that the polynomial Lm (x) is irreducible for each integer m > 2 with m ≡ 2 (mod 4), whence, following the work of I. Schur [16, 17] and R. Gow [8], there is, for every integer m ≥ 2, a generalized Laguerre polynomial of degree m having Galois group the alternating group Am . The layout of t ...
Degrees of curves in abelian varieties
... been constructed by MESTRE for any n in [Me]. The second question is the Castelnuovo problem : bound the geometric genus pg(C) of a curve C in a polarized abelian variety X of dimension n in terms of its degree d. We prove, using the original Castelnuovo bound for curves in projective spaces, the in ...
... been constructed by MESTRE for any n in [Me]. The second question is the Castelnuovo problem : bound the geometric genus pg(C) of a curve C in a polarized abelian variety X of dimension n in terms of its degree d. We prove, using the original Castelnuovo bound for curves in projective spaces, the in ...
File - Ms. Fujie`s Math Class
... 9. Differentiate the purposes of vertical and horizontal line tests 10. Identify a function as one-to-one and its implications on inverse functions. 11. Find the inverse of a function and verify two functions are inverses by using the property of inverse functions. 12. Graph a function and its inver ...
... 9. Differentiate the purposes of vertical and horizontal line tests 10. Identify a function as one-to-one and its implications on inverse functions. 11. Find the inverse of a function and verify two functions are inverses by using the property of inverse functions. 12. Graph a function and its inver ...