2013
DOI: 10.1007/s00209-013-1266-2
|View full text |Cite
|
Sign up to set email alerts
|

On the bicanonical map of primitive varieties with $$q(X) = \mathrm{dim }X$$ q ( X ) = dim X : the degree and the Euler number

Abstract: Let X be a variety of maximal Albanese dimension and of general type. Assume that q(X) = dim X, the Albanese variety Alb(X) is a simple abelian variety, and the bicanonical map is not birational. We prove that the Euler number χ(X, ω X ) is equal to 1, and |2K X | separates two distinct points over the same general point on Alb(X) via alb X (Theorem 1.1).

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

3
323
0
3

Year Published

2013
2013
2021
2021

Publication Types

Select...
10

Relationship

0
10

Authors

Journals

citations
Cited by 231 publications
(329 citation statements)
references
References 16 publications
(4 reference statements)
3
323
0
3
Order By: Relevance
“…The 13 known compounds were elucidated as erianin, 12 4,6-dihydroxyisobenzofuran-1(3H)-one, 13 ergostan-7,9,22-trien-3,5-diol, 14 ergosterol, 15 β-sitosterol and daucosterol by comparing with those from literature and TLC means.…”
Section: Resultsmentioning
confidence: 99%
“…The 13 known compounds were elucidated as erianin, 12 4,6-dihydroxyisobenzofuran-1(3H)-one, 13 ergostan-7,9,22-trien-3,5-diol, 14 ergosterol, 15 β-sitosterol and daucosterol by comparing with those from literature and TLC means.…”
Section: Resultsmentioning
confidence: 99%
“…Here, all the items with E need to take fluctuation analysis into consideration. We apply Chernoff bound analysis to estimate these items [31,35]. There are also gaps between Y Z 11 and Y X 11 , and e bx 1;1 and e pzab 1;1 ða; b ∈ f0; ν; μgÞ.…”
Section: Appendix B: Theoretical Analysismentioning
confidence: 99%
“…Vernazza et al (1981) have already shown that A&A 539, A49 (2012) dominant chromospheric coolants are hydrogen, plus singly ionized calcium and magnesium. For prominences, calcium losses were computed by Zhang & Fang (1987), who found them to be negligible compared to hydrogen for some specific models. Because this contradicts the results found in the chromosphere, we recompute here the calcium losses in prominences, using the most up-to-date radiative transfer models (Gouttebroze & Heinzel 2002).…”
Section: Introductionmentioning
confidence: 99%