Geodesic
Determinantal Resolution of the Universal Subscheme in $\mathscr S\times H_{d+1}$
Matematičeskie zametki, Tome 69 (2001) no. 2, pp. 286-294

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We construct a determinantal resolution of singularities for the universal subscheme in $\mathscr S\times H_{d+1}$ and prove that it is isomorphic to the variety of total pairs $\widetilde{\mathscr S\times H_d}$. 
@article{MZM_2001_69_2_a11,
     author = {N. V. Timofeeva},
     title = {Determinantal {Resolution} of the {Universal} {Subscheme} in $\mathscr S\times H_{d+1}$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {286--294},
     publisher = {mathdoc},
     volume = {69},
     number = {2},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2001_69_2_a11/}
}
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N. V. Timofeeva. Determinantal Resolution of the Universal Subscheme in $\mathscr S\times H_{d+1}$. Matematičeskie zametki, Tome 69 (2001) no. 2, pp. 286-294. http://geodesic.mathdoc.fr/item/MZM_2001_69_2_a11/