منابع مشابه
Faltings Modular Height and Self-intersection of Dualizing Sheaf
is finite under the following equivalence (cf. Theorem 3.1). For stable curves X and Y over OK , X is equivalent to Y if X ⊗OK OK′ ≃ Y ⊗OK OK′ for some finite extension field K ′ of K. In §1, we will consider semistability of the kernel of H(C,L) ⊗ OC → L, which gives a generalization of [PR]. In §2, an inequality of self-intersection and height will be treated. Finally, §3 is devoted to finite...
متن کاملArithmetic Intersection on a Hilbert Modular Surface and the Faltings Height
In this paper, we prove an explicit arithmetic intersection formula between arithmetic Hirzebruch-Zagier divisors and arithmetic CM cycles in a Hilbert modular surface over Z. As applications, we obtain the first ‘non-abelian’ Chowla-Selberg formula, which is a special case of Colmez’s conjecture; an explicit arithmetic intersection formula between arithmetic Humbert surfaces and CM cycles in t...
متن کاملWeight and Height in Tehran Nurseries
Summary In order to examine the Summary .growth status or children in Tehran nurseries in comparison to the international standards, height and Weight in 526 boys and 557 girls 3 to 7 year old in 7 nurseries located in the wellto-do areas of the capital were surveyed and compared to the National Center for Health Statistics figures. 54.5% or the children were between -1 SD to + 1 SD weight fo...
متن کاملHeight Functions
Definition 1. An (archimedean) absolute value on a field k is a real valued function ‖ · ‖ : k → [0,∞) with the following three properties: (1) ‖x‖ = 0 if and only if x = 0. (2) ‖xy‖ = ‖x‖ · ‖y‖. (3) ‖x+ y‖ ≤ ‖x‖+ ‖y‖. A nonarchimedean absolute value satisfies the extra condition that (3’) ‖x+ y‖ ≤ max{‖x‖, ‖y‖}. If k is a field, we denote Mk the set of absolute values on k. As an abuse of nota...
متن کاملCommentary: Height and intelligence.
In 1892, WT Porter published a study of 33 500 students entitled ‘The physical basis of precocity and dullness’ in which he reported that taller students performed better academically than did shorter students of the same age.1 Since then many studies in developed and developing countries have shown that children who are shorter or whose linear growth is retarded tend to gain lower scores in te...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin de la Société mathématique de France
سال: 2012
ISSN: 0037-9484,2102-622X
DOI: 10.24033/bsmf.2623