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math.AG2021★ 6 cited
Structure theorem for projective klt pairs with nef anti-canonical divisor
Shin-ichi Matsumura, Juanyong Wang
In this paper, we establish a structure theorem for projective klt pairs with nef anti-log canonical divisor; specifically, we prove that, up to replacing with a finite…
math.AG2021★ 5 cited
Strictly nef divisors on K-trivial fourfolds
Haidong Liu, Shin-ichi Matsumura
In this paper, we prove the ampleness conjecture and Serrano's conjecture for strictly nef divisors on K-trivial fourfolds. Specifically, we show that any strictly nef divisors on…