A lower bound for sectional genus of quasi-polarized manifolds, II. pdf (update July 10, 2009)

On d-very ample line bundles on Abelian surfaces. pdf
(open date April 14, 2008)

Invariants of ample vector bundles on smooth projective varieties. (New version) pdf (open date May 2, 2011)


Calculations of sectional Euler numbers and sectional Betti numbers of special polarized manifolds. (Latest Version: 5)
(If you find a mistake, please let me know. mail)
(update November 7, 2011)

Sectional class of ample vector bundles on smooth projective varieties, I: The case of ample line bundles,
(Latest Version 2)
(open date January 23, 2012)

Invariants of ample line bundles on projective varieties and their applications, III, (2nd version) pdf (open date August 25, 2011)


A note on quasi-polarized manifolds (X,L) with
h⁰(K_X+(n-2)L)=0 (open date March 30, 2012)


On classification of polarized 3-folds (X,L) with h⁰(K_X+2L)=2
(Latest version 1)
(open date January 22, 2012)


Classification of polarized manifolds
by the second sectional Betti number
(open date January 22, 2012)



_{On generalized polarized manifolds of which the second Cr-sectional geometric genus is equal to h²(O)+1}
(open date March 18, 2012)


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