Academic Journal
Upper bound of discrepancies of divisors computing minimal log discrepancies on surfaces.
| Τίτλος: | Upper bound of discrepancies of divisors computing minimal log discrepancies on surfaces. |
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| Συγγραφείς: | Chen, Bingyi1 (AUTHOR) chenby16@tsinghua.org.cn |
| Πηγή: | Journal of Algebra. Aug2026, Vol. 700, p69-86. 18p. |
| Θεματικοί όροι: | *Algebraic geometry, *Mathematical singularities, *Geometric surfaces |
| Περίληψη: | Fix a subset I ⊆ R > 0 such that γ : = inf { ∑ i n i b i − 1 > 0 | n i ∈ Z ≥ 0 , b i ∈ I } > 0. We give an explicit upper bound ℓ (γ) ∈ O (1 / γ 2) as γ → 0 , such that for any smooth surface A of arbitrary characteristic with a closed point 0 and an R -ideal a with exponents in I , there always exists a prime divisor E over A computing the minimal log discrepancy of (A , a) at 0 and with its log discrepancy k E + 1 ≤ ℓ (γ). Some examples indicate that our bound is optimal. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: | Academic Search Index |
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