Shihoko Ishii
Abstract
A blow-up is called a prime blow-up, if its exceptional set is a unique irreducible divisor. This article shows that an irreducible exceptional divisor appears in a prime blow-up, if and only if there are extremal functions for this divisor.
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A blow-up is called a prime blow-up, if its exceptional set is a unique irreducible divisor. This article shows that an irreducible exceptional divisor appears in a prime blow-up, if and only if there are extremal functions for this divisor.
Key concepts: Mathematics, Divisor (algebraic geometry), Prime (order theory), Prime factor, Set (abstract data type), Pure mathematics, Combinatorics, Computer science